114496287129 has 135 divisors (see below), whose sum is σ = 205501901583. Its totient is φ = 63343425600.

The previous prime is 114496287013. The next prime is 114496287133. The reversal of 114496287129 is 921782694411.

The square root of 114496287129 is 338373.

It is a perfect power (a square), and thus also a powerful number.

114496287129 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 9 + 628 + 7 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5517072729 + 108979214400 = 74277^2 + 330120^2 .

It is not a de Polignac number, because 114496287129 - 2⁷ = 114496287001 is a prime.

It is a super-2 number, since 2×114496287129² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114496287329) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 874017394 + ... + 874017524.

Almost surely, 2^114496287129 is an apocalyptic number.

114496287129 is the 338373-rd square number.

114496287129 is the 169187-th centered octagonal number.

It is an amenable number.

114496287129 is a deficient number, since it is larger than the sum of its proper divisors (91005614454).

114496287129 is an frugal number, since it uses more digits than its factorization.

114496287129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 182 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 114496287129 in words is "one hundred fourteen billion, four hundred ninety-six million, two hundred eighty-seven thousand, one hundred twenty-nine".